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Finding the Fourth Proportional to 844.43, 1,266.40 and 324.40

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Solution

The fourth proportional to 844.43, 1,266.40 and 324.40 is: 486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.43 : 1,266.40 = 324.40 : x
  2. Step 2: Convert to fraction form
    844.43/1,266.40 = 324.40/x
  3. Step 3: Cross multiply
    844.43x = 1,266.40 × 324.40
  4. Step 4: Simplify right side
    844.43x = 410,820.16
  5. Step 5: Solve for x
    x = 410,820.16/844.43
  6. Step 6: Final answer
    x = 486.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.